Finding the Third Proportional to 83,128 and 182,258

Step by Step Solution

1. Step 1: Write the proportion equation
   83,128 : 182,258 = 182,258 : x
2. Step 2: Convert to fraction form
   83,128/182,258 = 182,258/x
3. Step 3: Cross multiply
   83,128x = 182,258 × 182,258
4. Step 4: Simplify right side
   83,128x = 33,217,978,564
5. Step 5: Solve for x
   x = 33,217,978,564/83,128
6. Step 6: Final answer
   x = 399,600.36